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Finding the Third Proportional to 42,843 and 62,800

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Solution

The third proportional to 42,843 and 62,800 is: 92,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,843 : 62,800 = 62,800 : x
  2. Step 2: Convert to fraction form
    42,843/62,800 = 62,800/x
  3. Step 3: Cross multiply
    42,843x = 62,800 × 62,800
  4. Step 4: Simplify right side
    42,843x = 3,943,840,000
  5. Step 5: Solve for x
    x = 3,943,840,000/42,843
  6. Step 6: Final answer
    x = 92,053.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.